Oscar.jl/experimental/FTheoryTools/src/LiteratureModels/Models/model1408_4808-11.json at 7bdb13e5d23a43e0e4af8337f924d1614e627f39 · emikelsons/Oscar.jl · GitHub

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{
    "model_index": "34",
    "arxiv_data": {
        "id": "1408.4808",
        "doi": "10.48550/arXiv.1408.4808",
        "version": "2",
        "discipline": "hep-th",
        "link": "https://arxiv.org/abs/1408.4808v2",
        "model_location": {
            "section": "3",
            "equation": "3.142",
            "page": "67"
        }
    },
    "journal_data": {
        "doi": "10.1007/JHEP01(2015)142",
        "report_numbers": ["UPR-1264-T", "CERN-PH-TH-2014-171", "BONN-TH-2014-13"],
        "journal": "JHEP",
        "volume": "01",
        "pages": "142",
        "year": "2015",
        "link": "https://link.springer.com/article/10.1007/JHEP01(2015)142",
        "model_location": {
            "section": "3",
            "equation": "3.141",
            "page": "67"
        }
    },
    "paper_metadata": {
        "authors": [
            "Denis Klevers",
            "Damián Kaloni Mayorga Peña",
            "Paul-Konstantin Oehlmann",
            "Hernan Piragua",
            "Jonas Reuter"
        ],
        "title": "F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches",
        "description": "All Calabi-Yau manifolds with a genus-one fiber associated to the 16 reflexive 2D polyhedra F_i",
        "buzzwords": ["Mordell-Weil", "reflexive polyhedra", "toric varieties", "elliptic fibrations"]
    },
    "model_descriptors": {
        "type": "hypersurface",
        "description": "F-theory hypersurface model with fiber ambient space F_11",
        "gauge_algebra": ["su(3)","su(2)","u(1)"],
        "global_gauge_quotients": [["diagonal_matrix(root_of_unity(C,3),3)"], ["-identity_matrix(C,2)"], ["diagonal_matrix(root_of_unity(C,6,-1),1)"]]
    },
    "model_data": {
        "base_dim": 3,
        "defining_classes": ["s7", "s9"],
        "model_sections": ["s1", "s2", "s3", "s5", "s6", "s9"],
        "classes_of_tunable_sections_in_basis_of_Kbar_and_defining_classes": [
            [ 3,  2,  1,  2, 1, 0],
            [-1,  0,  1, -1, 0, 0],
            [-1, -1, -1,  0, 0, 1]
        ],
        "fiber_ambient_space_rays": [[-1, 1], [0, -1], [1, 0], [0, 1], [-1, 0], [-1, -1], [-1, 2]],
        "fiber_ambient_space_max_cones": [[1, 7], [4, 7], [3, 4], [2, 3], [2, 6], [5, 6], [1, 5]],
        "fiber_ambient_space_coordinates": ["u", "v", "w", "e1", "e2", "e3", "e4"],
        "fiber_ambient_space_name": "P^{F_11}",
        "fiber_twist_matrix": [
            [-1,  0, 0, 0, 0, 0, 0],
            [ 0, -1, 0, 0, 0, 0, 0],
            [ 1,  1, 0, 0, 0, 0, 0]
        ],
        "hypersurface_equation": "s1*e1^2*e2^2*e3*e4^4*u^3 + s2*e1*e2^2*e3^2*e4^2*u^2*v + s3*e2^2*e3^3*u*v^2 + s5*e1^2*e2*e4^3*u^2*w + s6*e1*e2*e3*e4*u*v*w + s9*e1*v*w^2",
        "zero_section_class": "v",
        "exceptional_classes": ["e1", "e2", "e3", "e4"],
        "zero_section": ["1", "0", "s1", "1", "1", "-s5", "1"],
        "generating_sections": [
            ["s9", "1", "1", "-s3", "1", "1", "0"]
        ]
    },
    "associated_models": [
        "model1408_4808-1.json",
        "model1408_4808-2.json",
        "model1408_4808-3.json",
        "model1408_4808-4.json",
        "model1408_4808-5.json",
        "model1408_4808-6.json",
        "model1408_4808-7.json",
        "model1408_4808-8.json",
        "model1408_4808-9.json",
        "model1408_4808-10.json",
        "model1408_4808-12.json",
        "model1408_4808-13.json",
        "model1408_4808-14.json",
        "model1408_4808-15.json",
        "model1408_4808-16.json"
    ],
    "birational_models": ["model1408_4808-11-WSF.json"]
}